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Lorita · Answer 1 · 2023-08-12T08:06:31+0000

x = 14

Step-by-step explanation:

height = x

base 1 = 98

base 2 = 2

Using altitude formula in geometric mean:

base 1/height = height/base 2

98/x = x/2

$\begin{gathered} (98)/(x)=(x)/(2) \\ \text{cross multiply:} \\ 2(98)\text{ = x}* x \end{gathered}$
$\begin{gathered} 196=x^2 \\ \text{square root both sides:} \\ \sqrt[]{196}\text{ = }\sqrt[]{x^2} \\ x\text{ = }\sqrt[]{196} \\ x\text{ = 14} \end{gathered}$

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